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Finding the Third Proportional to 68,676 and 144,736

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Solution

The third proportional to 68,676 and 144,736 is: 305,033.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,676 : 144,736 = 144,736 : x
  2. Step 2: Convert to fraction form
    68,676/144,736 = 144,736/x
  3. Step 3: Cross multiply
    68,676x = 144,736 × 144,736
  4. Step 4: Simplify right side
    68,676x = 20,948,509,696
  5. Step 5: Solve for x
    x = 20,948,509,696/68,676
  6. Step 6: Final answer
    x = 305,033.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.